TSTP Solution File: GRP465-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jul 26 07:02:47 EDT 2022
% Result : Unsatisfiable 0.60s 0.82s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 17 RR)
% Number of literals : 62 ( 61 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(B,divide(divide(divide(divide(B,B),A),C),divide(divide(identity,B),C))),
file('/tmp/MaedMax_22819') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_22819') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_22819') ).
cnf(eq_3,axiom,
divide(A,A) = identity,
file('/tmp/MaedMax_22819') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_22819') ).
cnf(eq_5,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,plain,
A = divide(B,divide(divide(inverse(A),C),divide(inverse(B),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_3]),eq_2]),eq_2]) ).
cnf(eq_7,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_8,plain,
A = divide(B,divide(divide(divide(identity,A),C),divide(divide(identity,B),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_2]) ).
cnf(eq_9,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_10,plain,
divide(x100,identity) = multiply(x100,identity),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_11,plain,
divide(x101,identity) = x101,
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_12,plain,
divide(x100,divide(identity,divide(divide(identity,x100),divide(identity,x101)))) = x101,
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_13,plain,
divide(identity,divide(divide(divide(identity,x101),x102),divide(identity,x102))) = x101,
inference(cp,[status(thm)],[eq_3,eq_8]) ).
cnf(eq_14,plain,
A = divide(identity,multiply(divide(divide(identity,A),B),B)),
inference(rw,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_15,plain,
divide(A,identity) = multiply(A,identity),
eq_10 ).
cnf(eq_16,plain,
A = multiply(B,multiply(divide(identity,B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_1]),eq_1]) ).
cnf(eq_17,plain,
A = divide(A,identity),
eq_11 ).
cnf(eq_18,plain,
A = inverse(divide(divide(inverse(A),B),inverse(B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_2]),eq_5]),eq_2]) ).
cnf(eq_19,plain,
A = divide(B,inverse(divide(inverse(B),inverse(A)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_2]),eq_5]),eq_5]) ).
cnf(eq_20,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]),eq_2]),eq_2]) ).
cnf(eq_21,plain,
divide(x100,divide(inverse(x101),divide(inverse(x100),identity))) = x101,
inference(cp,[status(thm)],[eq_17,eq_6]) ).
cnf(eq_22,plain,
A = divide(B,divide(inverse(A),divide(inverse(B),identity))),
eq_21 ).
cnf(eq_23,plain,
A = inverse(multiply(divide(inverse(A),B),B)),
inference(rw,[status(thm)],[eq_18,eq_5]) ).
cnf(eq_24,plain,
A = divide(B,multiply(inverse(A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_17]),eq_5]) ).
cnf(eq_25,plain,
A = multiply(B,multiply(inverse(B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_5]),eq_5]) ).
cnf(eq_26,plain,
A = multiply(A,identity),
inference(rw,[status(thm)],[eq_15,eq_17]) ).
cnf(eq_27,plain,
inverse(inverse(x101)) = multiply(identity,x101),
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_28,plain,
multiply(identity,A) = inverse(inverse(A)),
eq_27 ).
cnf(eq_29,plain,
divide(identity,inverse(x101)) = x101,
inference(cp,[status(thm)],[eq_26,eq_24]) ).
cnf(eq_30,plain,
divide(multiply(inverse(inverse(x101)),A),A) = x101,
inference(cp,[status(thm)],[eq_25,eq_24]) ).
cnf(eq_31,plain,
inverse(inverse(multiply(inverse(identity),x101))) = x101,
inference(cp,[status(thm)],[eq_28,eq_25]) ).
cnf(eq_32,plain,
inverse(multiply(identity,inverse(x100))) = x100,
inference(cp,[status(thm)],[eq_3,eq_23]) ).
cnf(eq_33,plain,
A = inverse(multiply(identity,inverse(A))),
eq_32 ).
cnf(eq_34,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[eq_29,eq_2]) ).
cnf(eq_35,plain,
A = inverse(inverse(multiply(identity,A))),
inference(rw,[status(thm)],[eq_31,eq_7]) ).
cnf(eq_36,plain,
A = multiply(identity,A),
inference(rw,[status(thm)],[eq_35,eq_34]) ).
cnf(eq_37,plain,
divide(x100,A) = multiply(x100,inverse(A)),
inference(cp,[status(thm)],[eq_34,eq_5]) ).
cnf(eq_38,plain,
divide(x100,multiply(A,x100)) = inverse(A),
inference(cp,[status(thm)],[eq_34,eq_24]) ).
cnf(eq_39,plain,
multiply(inverse(A),multiply(A,x101)) = x101,
inference(cp,[status(thm)],[eq_34,eq_25]) ).
cnf(eq_40,plain,
inverse(multiply(identity,A)) = inverse(A),
inference(cp,[status(thm)],[eq_34,eq_33]) ).
cnf(eq_41,plain,
A = multiply(inverse(B),multiply(B,A)),
eq_39 ).
cnf(eq_42,plain,
divide(A,B) = multiply(A,inverse(B)),
eq_37 ).
cnf(eq_43,plain,
A = divide(multiply(A,B),B),
inference(rw,[status(thm)],[eq_30,eq_34]) ).
cnf(eq_44,plain,
inverse(A) = inverse(multiply(identity,A)),
eq_40 ).
cnf(eq_45,plain,
divide(A,multiply(B,A)) = inverse(B),
eq_38 ).
cnf(eq_46,plain,
A = multiply(multiply(A,B),inverse(B)),
inference(cp,[status(thm)],[eq_43,eq_42]) ).
cnf(eq_47,plain,
multiply(A,inverse(multiply(x101,A))) = inverse(x101),
inference(cp,[status(thm)],[eq_42,eq_45]) ).
cnf(eq_48,plain,
multiply(A,inverse(multiply(B,A))) = inverse(B),
eq_47 ).
cnf(eq_49,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(multiply(identity,c3))) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(cp,[status(thm)],[eq_44,eq_20]) ).
cnf(eq_50,negated_conjecture,
multiply(multiply(a3,b3),multiply(identity,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_5]),eq_5]),eq_5]),eq_5]) ).
cnf(eq_51,plain,
A = multiply(B,inverse(multiply(multiply(inverse(A),inverse(C)),inverse(multiply(inverse(B),inverse(C)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_42]),eq_42]),eq_36]),eq_36]),eq_42]),eq_42]),eq_42]),eq_42]) ).
cnf(eq_52,plain,
multiply(inverse(multiply(A,B)),A) = inverse(B),
inference(cp,[status(thm)],[eq_46,eq_41]) ).
cnf(eq_53,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
inference(cp,[status(thm)],[eq_48,eq_41]) ).
cnf(eq_54,plain,
multiply(inverse(A),B) = inverse(multiply(inverse(B),A)),
inference(cp,[status(thm)],[eq_25,eq_52]) ).
cnf(eq_55,plain,
A = multiply(B,multiply(inverse(multiply(C,B)),multiply(C,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_53]),eq_53]),eq_34]),eq_54]) ).
cnf(eq_56,plain,
multiply(x100,multiply(inverse(multiply(inverse(B),x100)),A)) = multiply(B,A),
inference(cp,[status(thm)],[eq_41,eq_55]) ).
cnf(eq_57,plain,
multiply(A,B) = multiply(C,multiply(multiply(inverse(C),A),B)),
inference(rw,[status(thm)],[eq_56,eq_54]) ).
cnf(eq_58,plain,
multiply(x100,multiply(A,B)) = multiply(multiply(inverse(inverse(x100)),A),B),
inference(cp,[status(thm)],[eq_57,eq_25]) ).
cnf(eq_59,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(rw,[status(thm)],[eq_58,eq_34]) ).
cnf(eq_60,negated_conjecture,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_36]),eq_59]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 04:27:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.60/0.82 % SZS status Unsatisfiable
% 0.60/0.82 % SZS output start CNFRefutation for /tmp/MaedMax_22819
% See solution above
% 0.60/0.82
%------------------------------------------------------------------------------